97878211200 has 2304 divisors, whose sum is σ = 483011942400. Its totient is φ = 18247680000.

The previous prime is 97878211187. The next prime is 97878211213. The reversal of 97878211200 is 211287879.

It is an interprime number because it is at equal distance from previous prime (97878211187) and next prime (97878211213).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 969091150 + ... + 969091250.

It is an arithmetic number, because the mean of its divisors is an integer number (209640600).

Almost surely, 2^97878211200 is an apocalyptic number.

97878211200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97878211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241505971200).

97878211200 is an abundant number, since it is smaller than the sum of its proper divisors (385133731200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97878211200 is a wasteful number, since it uses less digits than its factorization.

97878211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 97878211200 in words is "ninety-seven billion, eight hundred seventy-eight million, two hundred eleven thousand, two hundred".